微分

For the problem that passive millimeter wave image is fuzzy and of low resolution,the partial differential equation method is proposed for high-resolution restoration of the image and then the PDE model and the corresponsive image restoration algorithm are given.

针对被动毫米波图像模糊和分辨率较低，提出采用偏微分方程方法进行图像的高分辨率恢复，并给出了偏微分方程模型和相应的图像恢复算法。

The one-dimension Terzaghi consolidation differential equation with boundary conditions,in which the top is drainable and the bottom is undrainable was solved,and the solutions obtained from several different references were analyzed.

解答了顶面不排水、底面排水边界条件下的太沙基一维固结微分方程，并比较分析了不同坐标系统下、不同边界条件下的单面排水太沙基一维固结微分方程的解答。

According the experiential formulas of headbox to design the stepped diffuser headbox's geometry parameters. Supposing Paper suspension flow as potential flow and basing on hydrokinetic and computational fluid dynamics theories, we can solve the elliptoid partial differential equations which are followed by the flow functions and the potential functions by finite element method and simulate the flow's speed distribution with pde toolbox of matlab software. The simulate results and the flow analysis have good precision.

按照流浆箱的经验设计公式，设计阶梯扩散式流浆箱的各组件几何参数，以流体动力学、计算流体力学等理论为基础，假定浆流的流动为势流，采用有限元法求解浆流流动时其流函数和速度势函数所符合的椭圆型偏微分方程，应用matlab软件的偏微分方程工具包pde toolbox，模拟出所设计的流浆箱各组件内的浆流的流场流速分布，模拟结果与数值计算流动分析结果吻合。

The nonlinear hyperbolic conservation laws of the transient flow of the media in gas pipeline are hard to he solved, so, the control conservation laws are constituted of mass, momentum arid energy conservation laws, TVD/Godunov hydrid algorithm is used to simulate the transient flow in gas pipeline, and the traditional splitting approach processing nonlinear convection in momentum equation is dismissed ,the convection tern; is directly processed, in the way, the stablization of the algorithm and emulating accuracy of the transient flow are greatly improved.

针对管道中介质瞬变流动的非线性偏微分方程组难以解析求解的问题，由质量、动量、能量三个偏微分方程构成的控制方程组，应用TVD/Godunov混合算法数值模拟天然气管道中气体的瞬变流动，摒弃了传统的差分方法时动量方程非线性时流项的线性化处理，而直接处理非线性对流项，从而大大提高了算法的稳定性和管道瞬变流动的仿真精度。

Multivalued functional differential equations and integrodifferential equations are an important branch in the theory of nonlinear analysis, which have wide applications in many fields such as engineering, economics, optimal control and optimization theory.

多值泛函微分方程和积分微分方程是非线性分析理论的一个重要分支，它在工程、经济、最优控制及最优化理论等领域有着广泛的应用。

Elastic and inelastic differential and integral cross sections for low-energy vibrational excitation of H2 by electron impact are studied with exact exchange. The resulting coupled integrodifferential equations are solved using a combination of linear-algebraic and R-matrix-propagator techniques.

严格交换势用于研究低能电子与H2分子的弹性和非弹性散射截面，线性代数方法和R-矩阵传播子相结合求解基于振动密耦合方法的积分-微分耦合方程组，由此得到收敛的散射微分截面和积分截面。

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现，分数维的维数D＝1.25对应最小的临界的电-声耦合常数(αo＝1.9)，D＝1.73对应最大的临界的介电常数比(ηc＝0.163)，当分数维的维数D≤1.145时，双极化子无论如何也不可能存在，在第四章中，我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能，不同于以前所有的方法，我们取声子的波函数与相对运动波函数有关的形式，而不是假定一个固定的关于相对运动坐标r的函数形式，得到相对运动波函数所满足的非线性的微分积分方程，我们数值求解这个微分积分方程得到系统基态能，而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

With c programming language, will step Kiel method of first-order differential equations, given an order ordinary differential equation init...

用c语言编程，定步长基尔法求解一阶常微分方程，给定一阶常微分方程的初值问题。

This method transforms the problem of time-domain response analysis from differential equations with boundary conditions to ones with initial conditions describing the ABCD matrices of multiconductor transmission lines, which are much easier to solve from the mathematics point of view.

在第四章，通过引入传输线的ABCD矩阵，提出了多导体传输线时域响应分析的一种新方法，该方法将时域响应分析从边值问题的微分方程转化为数学上更易求解的初值问题的微分方程，对传输线各个传输模式进行了综合考虑，避免了来回跟踪反射波的复杂过程。

Systems with hysteresis are nondifferentiable nonlinear systems. So they cannot be studied through control theories and methods used in differentiable nonlinear and linear systems.

具有回滞特性的系统是不可微分的非线性系统，所以不能采用可微分的非线性和线性系统的控制理论和方法来进行研究。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。